A model in which the photon has no dark component is that in Ref. [1]}, however, they introduce an scalar singlet \(\Phi _H\) , to break the \(U(1)^\prime \)  spontaneously. We denote the vacuum expectation value of this singlet \({\rm v_S}\) , as opposed to the VEV of the SM Higgs, which we denote by \({\rm v_h}\)  . The scalar singlet make the difference of the model in Ref. [1]} and ours. In former case the interactions the of Higgs bosons are
\( \nonumber h ff: -ic_h\frac{m_{f}}{{\rm {v_h}}}, \nonumber \\h WW: 2ic_h\frac{m_{W}^2}{{\rm {v_h}}}, \nonumber \\h Z Z: 2ic_h\frac{m_{Z}^2}{{\rm {v_h}}}(c_{\alpha }-\xi s_{W}s_{\alpha })^2-is_h\frac{m^2_V}{{{\rm {v}_S}}}{s^2_{\alpha }}, \nonumber \\h Z^{\prime }Z^{\prime }: 2ic_h\frac{m_{Z}^2}{{\rm {v_h}}}(s_{\alpha }+\xi s_{W}c_{\alpha })^2-is_h\frac{m^2_V}{\textrm {v}_S}c^2_\alpha , \nonumber \\h Z Z^{\prime }: 2ic_h\frac{m_{Z}^2}{{\rm {v_h}}}[(c_{\alpha }-s_{W}\xi s_{\alpha })(s_{\alpha }+s_{W}\xi c_{\alpha })]-is_h\frac{m^2_V}{\textrm {v}_S}s_\alpha c_\alpha . \nonumber \) 
